We give an explicit description of the zonal spherical functions on quantum Grassmann manifolds of orthogonal and symplectic type. A unified parametrization of their zonal spherical functions is given in terms of Macdonald polynomials and Koornwinder's multivariable Askey-Wilson polynomials.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
6
号
2
ページ
335 - 369
発行年
1999
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1706952
Mathmatical Subject Classification
17B37(MSC1991)
33D80(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
1996-02-06
アイテムへのリンクの際はタイトル右肩にある「Permalink」をご利用ください！
Please use "Permalink" at the top right of the title when linking to items!
Zonal Spherical Functions on Quantum Grassmann Manifolds
jms060203.pdf
(273.28KB)
